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This requires us to import the sys module The sysfloat_info object has many attributes; sysfloat_infoepsilon is effectively the smallest difference that the machine can distinguish between two oating-point numbers On one of the author s 32-bit machines it is just over 0000 000 000 000 000 2 (Epsilon is the traditional name for this number) Python floats normally provide reliable accuracy for up to 17 signi cant digits If you type sysfloat_info into IDLE, all its attributes will be displayed; these include the minimum and maximum oating-point numbers the machine can represent And typing help(sysfloat_info) will print some information about the sysfloat_info object Floating-point numbers can be converted to integers using the int() function which returns the whole part and throws away the fractional part, or using round() which accounts for the fractional part, or using mathfloor() or mathceil() which convert down to or up to the nearest integer The floatis_integer() method returns True if a oating-point number s fractional part is 0, and a float s fractional representation can be obtained using the floatas_integer_ratio() method For example, given x = 275, the call xas_integer_ratio() returns (11, 4) Integers can be converted to oatingpoint numbers using float() Floating-point numbers can also be represented as strings in hexadecimal format using the floathex() method Such strings can be converted back to oating-point numbers using the floatfromhex() method For example:

[ Team LiB ]

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Define the Interface To build a work ow that implements a particular interface, we created a new project in Visual Studio using the Sequential Work ow Service Library template, found in the WCF folder In this example, the solution and projand ect are named SimpleService We deleted and de ned an interface, , shown in Listing 113 Note that The fully quali ed interface the namespace in the le is , must be speci ed as the contract for name, for the project the endpoint in the and The service contract has two operations: operation places a ctitious stock order and returns a The structure The con rmation number in the operation is used after a potentially fraudulent stock order has been reviewed This operation is called to restart a work ow that is waiting on an external event The interface shown Listing 113 is the interface that the work ow service exposes Alternatively, we could have de ned the interface from within the WF designer for more of a code- rst style By starting with the interface, we could publish it and iterate with other developers and then use that as the starting point to implement the service Either way, starting with the interface or starting with the designer, would produce the same result but contract- rst feels like a more deliberate method to building services

s = 1425hex() # str s == '0x1c800000000000p+3'

f = floatfromhex(s) t = fhex()

# float f == 1425 # str t == '0x1c800000000000p+3'

In this section, the process of creating and managing sound in a MIDP 20 application is described The functionality of classes Manager and Player are described, and simple application examples are provided to illustrate the details of the API

Receive Activity A Receive activity models an operation contract Because there are two operation contracts de ned in Listing 113, there should be two Receive activities on the work ow The properties of the Receive activity are the input and return messages of the operation contract

The exponent is indicated using p ( power ) rather than e since e is a valid hexadecimal digit In addition to the built-in oating-point functionality, the math module provides many more functions that operate on floats, as shown in Tables 25 and 26 Here are some code snippets that show how to make use of the module s functionality:

>>> import math >>> mathpi * (5 ** 2) # Python 31 outputs: 7853981633974483 78539816339744831 >>> mathhypot(5, 12) 130 >>> mathmodf(13732) # Python 31 outputs: (07319999999999993, 130) (073199999999999932, 130)

The mathhypot() function calculates the distance from the origin to the point (x, y) and produces the same result as mathsqrt((x ** 2) + (y ** 2)) The math module is very dependent on the underlying math library that Python was compiled against This means that some error conditions and boundary cases may behave differently on different platforms

Figure 132 shows the class diagram of the MIDP 20 Sound API (Interfaces are shown in italic font)

To implement the work ow, we added a new item using the Sequential Work ow (with Code Separation) template The code separation enables us to look at the XOML representation of the work ow, which is an XML grammar that de nes the work ow and its activities With the StockServicexoml le open in the WF designer, a Receive activity is placed on design surface and the result is shown in Figure 116

The complex data type is an immutable type that holds a pair of floats, one representing the real part and the other the imaginary part of a complex number Literal complex numbers are written with the real and imaginary parts joined by a + or - sign, and with the imaginary part followed by a j Here are some examples: 35+2j, 05j, 4+0j, -1-37j Notice that if the real part is 0, we can omit it entirely The separate parts of a complex are available as attributes real and imag For example:

>>> z = -895+2125j >>> zreal, zimag (-895, 2125)

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